SOLUTION: Two sports cars leave the city at 9 a.m. One heads due south at 60 mph, the other car travels east at 45 mph. How far apart are they at noon?
Question 230564: Two sports cars leave the city at 9 a.m. One heads due south at 60 mph, the other car travels east at 45 mph. How far apart are they at noon? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! Two sports cars leave the city at 9 a.m. One heads due south at 60 mph, the other car travels east at 45 mph. How far apart are they at noon?
Step 1. The two cars travel for 3 hours since the difference between 12 and 9 is 3.
Step 2. distance = speed * time
Step 3. Let 60*3=180 be the distance of the car traveling south.
Step 4. Let 45*3=135 be the distance of the car traveling east.
Step 5. Let d be the distance that the cars are apart after 3 hours.
Step 6. Use the Pythagorean Theorem to find the distance the two cars are apart after 3 hours. The theorem states that the sum of the square of the legs of a right triangle is equal to the square of the hypotenuse ( distance the cars are apart in this example).
Take the square root to both sides of the equation
Step 7. ANSWER: The two cars will be 225 miles apart.
I hope the above steps were helpful.
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